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Finding the Third Proportional to 812,864 and 1,096,512

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Solution

The third proportional to 812,864 and 1,096,512 is: 1,479,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,864 : 1,096,512 = 1,096,512 : x
  2. Step 2: Convert to fraction form
    812,864/1,096,512 = 1,096,512/x
  3. Step 3: Cross multiply
    812,864x = 1,096,512 × 1,096,512
  4. Step 4: Simplify right side
    812,864x = 1,202,338,566,144
  5. Step 5: Solve for x
    x = 1,202,338,566,144/812,864
  6. Step 6: Final answer
    x = 1,479,138.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.